Exact Solutions of the (2+1)-Dimensional Stochastic Chiral Nonlinear Schrödinger Equation
Sahar Albosaily, Wael W. Mohammed, M. A. Aiyashi, Mahmoud A. E. Abdelrahman
Abstract
In this article, we take into account the (2+1)-dimensional stochastic Chiral nonlinear Schrödinger equation (2D-SCNLSE) in the Itô sense by multiplicative noise. We acquired trigonometric, rational and hyperbolic stochastic exact solutions, using three vital methods, namely Riccati–Bernoulli sub-ODE, He’s variational and sine–cosine methods. These solutions may be applicable in various applications in applied science. The proposed methods are direct, efficient and powerful. Moreover, we investigate the effect of multiplicative noise on the solution for 2D-SCNLSE by introducing some graphs to illustrate the behavior of the obtained solutions.
Topics & Concepts
OdeApplied mathematicsTrigonometric functionsRiccati equationMathematicsMultiplicative noiseMultiplicative functionNonlinear systemTrigonometryHyperbolic functionBernoulli's principleStochastic resonanceNoise (video)SineMathematical analysisComputer sciencePartial differential equationPhysicsQuantum mechanicsImage (mathematics)ThermodynamicsDigital signal processingGeometrySignal transfer functionArtificial intelligenceAnalog signalComputer hardwareNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems